ログイン
言語:

WEKO3

  • トップ
  • ランキング
To
lat lon distance
To

Field does not validate



インデックスリンク

インデックスツリー

メールアドレスを入力してください。

WEKO

One fine body…

WEKO

One fine body…

アイテム

{"_buckets": {"deposit": "cd5598c2-5477-40e8-b357-f4c09a8a9808"}, "_deposit": {"id": "28433", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "28433"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00028433", "sets": ["699"]}, "author_link": ["93048", "93049"], "item_10_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2006", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "03", "bibliographicPageEnd": "412", "bibliographicPageStart": "391", "bibliographicVolumeNumber": "09", "bibliographic_titles": [{"bibliographic_title": "Infinite Dimensional Analysis, Quantum Probability and Related Topics"}]}]}, "item_10_description_4": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "The free analogue of the transportation cost inequality so far obtained for measures is extended to the noncommutative setting. Our free transportation cost inequality is for tracial distributions of noncommutative self-adjoint (also unitary) multi-variables in the framework of tracial C*-probability spaces, and it tells that the Wasserstein distance is dominated by the square root of the relative free entropy with respect to a potential of additive type (corresponding to the free case) with some convexity condition. The proof is based on random matrix approximation procedure.", "subitem_description_language": "en", "subitem_description_type": "Abstract"}]}, "item_10_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "World Scientific", "subitem_publisher_language": "en"}]}, "item_10_relation_11": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_type": "isVersionOf", "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.1142/S0219025706002457", "subitem_relation_type_select": "DOI"}}]}, "item_10_rights_12": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "Preprint of an article published in [Infinite Dimensional Analysis, Quantum Probability and Related Topics, 9, 3, 2006, 391-412] [10.1142/S0219025706002457] © [copyright World Scientific Publishing Company] [https://www.worldscientific.com/worldscinet/idaqp]", "subitem_rights_language": "en"}]}, "item_10_select_15": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "author"}]}, "item_10_source_id_61": {"attribute_name": "ISSN(print)", "attribute_value_mlt": [{"subitem_source_identifier": "0219-0257", "subitem_source_identifier_type": "PISSN"}]}, "item_1615787544753": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_ab4af688f83e57aa", "subitem_version_type": "AM"}]}, "item_access_right": {"attribute_name": "アクセス権", "attribute_value_mlt": [{"subitem_access_right": "open access", "subitem_access_right_uri": "http://purl.org/coar/access_right/c_abf2"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "HIAI, FUMIO", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "93048", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "UEDA, YOSHIMICHI", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "93049", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2019-08-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "0501238.pdf", "filesize": [{"value": "241.2 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 241200.0, "url": {"label": "0501238", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/28433/files/0501238.pdf"}, "version_id": "c2b893e4-c65b-4e96-9067-e31f8d997f3a"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Free probability theory", "subitem_subject_scheme": "Other"}, {"subitem_subject": "random matrix", "subitem_subject_scheme": "Other"}, {"subitem_subject": "operator algebras", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Wasserstein metric", "subitem_subject_scheme": "Other"}, {"subitem_subject": "free entropy", "subitem_subject_scheme": "Other"}, {"subitem_subject": "transportation cost inequality", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "FREE TRANSPORTATION COST INEQUALITIES FOR NONCOMMUTATIVE MULTI-VARIABLES", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "FREE TRANSPORTATION COST INEQUALITIES FOR NONCOMMUTATIVE MULTI-VARIABLES", "subitem_title_language": "en"}]}, "item_type_id": "10", "owner": "1", "path": ["699"], "permalink_uri": "http://hdl.handle.net/2237/00030626", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2019-08-28"}, "publish_date": "2019-08-28", "publish_status": "0", "recid": "28433", "relation": {}, "relation_version_is_last": true, "title": ["FREE TRANSPORTATION COST INEQUALITIES FOR NONCOMMUTATIVE MULTI-VARIABLES"], "weko_shared_id": -1}
  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

FREE TRANSPORTATION COST INEQUALITIES FOR NONCOMMUTATIVE MULTI-VARIABLES

http://hdl.handle.net/2237/00030626
http://hdl.handle.net/2237/00030626
b9c7376b-5dba-462e-863b-6610d0c59215
名前 / ファイル ライセンス アクション
0501238.pdf 0501238 (241.2 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2019-08-28
タイトル
タイトル FREE TRANSPORTATION COST INEQUALITIES FOR NONCOMMUTATIVE MULTI-VARIABLES
言語 en
著者 HIAI, FUMIO

× HIAI, FUMIO

WEKO 93048

en HIAI, FUMIO

Search repository
UEDA, YOSHIMICHI

× UEDA, YOSHIMICHI

WEKO 93049

en UEDA, YOSHIMICHI

Search repository
アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
権利
言語 en
権利情報 Preprint of an article published in [Infinite Dimensional Analysis, Quantum Probability and Related Topics, 9, 3, 2006, 391-412] [10.1142/S0219025706002457] © [copyright World Scientific Publishing Company] [https://www.worldscientific.com/worldscinet/idaqp]
キーワード
主題Scheme Other
主題 Free probability theory
キーワード
主題Scheme Other
主題 random matrix
キーワード
主題Scheme Other
主題 operator algebras
キーワード
主題Scheme Other
主題 Wasserstein metric
キーワード
主題Scheme Other
主題 free entropy
キーワード
主題Scheme Other
主題 transportation cost inequality
抄録
内容記述 The free analogue of the transportation cost inequality so far obtained for measures is extended to the noncommutative setting. Our free transportation cost inequality is for tracial distributions of noncommutative self-adjoint (also unitary) multi-variables in the framework of tracial C*-probability spaces, and it tells that the Wasserstein distance is dominated by the square root of the relative free entropy with respect to a potential of additive type (corresponding to the free case) with some convexity condition. The proof is based on random matrix approximation procedure.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 World Scientific
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ AM
出版タイプResource http://purl.org/coar/version/c_ab4af688f83e57aa
DOI
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1142/S0219025706002457
ISSN(print)
収録物識別子タイプ PISSN
収録物識別子 0219-0257
書誌情報 Infinite Dimensional Analysis, Quantum Probability and Related Topics

巻 09, 号 03, p. 391-412, 発行日 2006
著者版フラグ
値 author
戻る
0
views
See details
Views

Versions

Ver.1 2021-03-01 10:03:44.033076
Show All versions

Share

Mendeley Twitter Facebook Print Addthis

Cite as

エクスポート

OAI-PMH
  • OAI-PMH JPCOAR
  • OAI-PMH DublinCore
  • OAI-PMH DDI
Other Formats
  • JSON
  • BIBTEX

Confirm


Powered by WEKO3


Powered by WEKO3